Solutions to Differential-Differential Difference Equations with Variable Coefficients by Using Fourier Transform Method
Süleyman Demirel Üniversitesi Fen Edebiyat Fakültesi Fen Dergisi, vol.18, no.3, pp.259-267, 2023 (TRDizin)
- Publication Type: Article / Article
- Volume: 18 Issue: 3
- Publication Date: 2023
- Doi Number: 10.29233/sdufeffd.1318890
- Journal Name: Süleyman Demirel Üniversitesi Fen Edebiyat Fakültesi Fen Dergisi
- Journal Indexes: Academic Search Premier, CAB Abstracts, Veterinary Science Database, zbMATH, Directory of Open Access Journals, TR DİZİN (ULAKBİM)
- Page Numbers: pp.259-267
- Open Archive Collection: AVESIS Open Access Collection
- Yıldız Technical University Affiliated: Yes
Abstract
In this paper, differential-differential difference equations with variable coefficients have been solved using the Fourier Transform Method (FTM). In addition, new definitions and theorems are introduced. Besides, the efficiency of the proposed method is verified by solving five important examples. Furthermore, we have noted that the Fourier transform method is a powerful technique for solving ordinary differential difference equations (ODDEs) with variable coefficients. It involves transforming the ODDEs into the frequency domain using the Fourier transform, solving the transformed equation, and then applying the inverse Fourier transform to obtain the solution in the time domain.